Abigail wants to ride her bicycle 30.4 miles this week. She has already ridden 7 miles. If she rides for 3 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.

hmm...

The answer is 35.00%

IT IS RIGHT, TRUST ME

Answer:

the answer is 76.02 the person above was wrong.

Step-by-step explanation:

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

Answer: The constant rate change would be \(\frac{1}{9}\).

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = \(x^{2}\) , [2,3]

Write y = \(\frac{1}{9}\)x - 20 as a function which is f (x) = \(\frac{1}{9}\)x - 20

Consider the difference quotient formula which is \(\frac{f (x +h) - f (x) }{h}\).

Find the components of the definition. \(\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}\)simplify then it would be \(\frac{f (x) = \frac{x}{9} - 20 }\).

Lastly plug in all the components.

\(\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}\)

After solving all this the answer would be \(\frac{1}{9}\)

Answer:

c.p.= 5000

s.p.=5700

selling price is greeter than cost pries

then their is a profit

profit=S.p.- c.p.

p=5700-5000

so the profit was the rupees=700

the shopkeeper had a profit of rupees of 700.

Step-by-step explanation:

Answer:

(2.19 x 4) + (0.79 x 3)

Step-by-step explanation:

ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.

Answer:

9.55

Step-by-step explanation:

Answer:

he will pay $133.10

Step-by-step explanation:

The three numbers are 4, 8, and 14.

Let's use variables to represent the three numbers

Let x be the first number.

Then the second number is twice the first, so it is 2x.

The third number is 6 more than the second, so it is 2x + 6.

We know that the sum of the three numbers is 26, so we can write an equation:

x + 2x + (2x + 6) = 26

Now we can solve for x

5x + 6 = 26

5x = 20

x = 4

So the first number is 4.

To find the second number, we can use the equation we wrote earlier:

2x = 2(4) = 8

So the second number is 8.

To find the third number, we can use the other equation we wrote earlier

2x + 6 = 2(4) + 6 = 14

So the third number is 14.

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10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

Given that,

The measurements are depicted in a segment of a circular design on the drawing.

We have to find what length is the circle's radius.

We know that,

Let us take the up line as AB and the perpendicular line is OP.

So,

In ΔOPB

∠P=90°

PB=5cm

OP is perpendicular to AB.

Sin30° = PB/OB

1/2=5/OB

OB=5×2

OB=10

Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

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Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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The new length of the unstretched hanging-spring is 70 cm.

Hooke's law states that the spring's length change as a result of a compressive or tensile load is directly proportionate to the size of the force placed on the spring. Mathematically,

F = kx

Where;

K is the spring constant, while x represents the spring's length change.

As per the question-

L is the spring's uncompressed length: L = 0.5 m

Weight F1 linked to the spring: F1 = 100 N

First weight's effect on elongation x1: 60 - 50 = 10 = .01 m.

As per the Hooke's law;

F1 = Kx1

K = F1/X1

K = 100 / 0.1

K = 1000 N/m

Spring constant = 1000 N/m.

For the added 100-N block.

F = Kx2

x2 = F/K

x2 = 100 + 100 / 1000

x2 = 0.2m

x2 = 20 cm

L = 50 + 20 = 70 cm.

Thus, new length of the unstretched hanging-spring is 70 cm.

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Answer:

\( \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).\)

Answer:

She must sell 1026.66666667 kites

Step-by-step explanation:

15,400/15

The number of kites that Ellen needs to sell to complete her annual goal is 1027.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ellen can make a $15 profit on each kite she sells. Also, Ellen's annual income goal is to have $15,400. Therefore, the number of kites that Ellen needs to sell is,

Number of kites that Ellen will sell = Annual income goal/Profit on each kite

Number of kites that Ellen will sell = $15,400 / $15

                                                     = 1026.6667

Since Ellen can not sell half kites, therefore, she needs to sell 1027 kites to complete her annual income goal.

Hence, the number of kites that Ellen needs to sell to complete her annual goal is 1027.

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Answer:

each tablet is $752.88

Step-by-step explanation:

$13,551.84 = 18x

x = $752.88 cost of each tablet

Here's the formula written in LaTeX code:

To find the exact value of  \($\sec^2(2\theta)$ when $\theta = \frac{\pi}{6}$\)  ,

we first need to find the value of \($2\theta$ when $\theta = \frac{\pi}{6}$.\)

\(\[2\theta = 2 \cdot \left(\frac{\pi}{6}\right) = \frac{\pi}{3}\]\)

Now, we can substitute this value into the expression \($\sec^2(2\theta)$\) :  \(\[\sec^2\left(\frac{\pi}{3}\right)\]\)

Using the identity  \($\sec^2(\theta) = \frac{1}{\cos^2(\theta)}$\) , we can rewrite the expression as:

\(\[\frac{1}{\cos^2\left(\frac{\pi}{3}\right)}\]\)

Since  \($\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$\)  , we have:

\(\[\frac{1}{\left(\frac{1}{2}\right)^2} = \frac{1}{\frac{1}{4}} = 4\]\)

Therefore, \($\sec^2(2\theta) = 4$ when $\theta = \frac{\pi}{6}$.\)

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The value of a and b is 1.

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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Answer: F(x)=ax²+bx+c

If a=b=0 then F(X)= constant

If a=0 & b≠0 then F(X) is a linear function

If a≠0 then F (X) is a quadratic function

Step-by-step explanation:

Answer:

It would be 9,738.54

Step-by-step explanation: For starters, V= r^2(3.14)h

Make things easier by changing 20 1/2 to 20.5)) and 1 1/2 to 1.2))

Now multiply them to get your diameter. 20.5 * 1.20= 24.6.  

You now have a diameter of 24.6. Now, divide 24.6 by 2 to get your radius. So, now you have a radius of 12.3. All you have to do now is plug in your numbers.

V= r^2(3.14)h       V= (12.3)^2 (3.14) 20.5

you should get 9738.5373, but rounding by the hundredths place gets you 9738.54

Answer:

Yes

Step-by-step explanation:

All these ratios are equivalent, because if you divide 12/20, 30/50, and 75/125 you will get .6 for each answer.

This means that the unit rate for each of the ratios is the same, and that all of them are equivalent.

Hope this helps!

The total number of trees that CYEN PR has distributed and planted is 955 (300 + 655).

In the aftermath of Hurricane Maria, CYEN PR (Caribbean Youth Environment Network Puerto Rico) took on the initiative of distributing fruit trees to communities in need. In the first year, they distributed 300 fruit trees to help families with their food security. The following year, CYEN PR decided to go a step further and planted 655 fruit trees in food forests across communities.

To find out the total number of trees distributed and planted by CYEN PR, we simply add the number of trees distributed in the first year to the number of trees planted in the second year. Therefore, the total number of trees that CYEN PR has distributed and planted is 955 (300 + 655).

The distribution and planting of fruit trees by CYEN PR not only helped with food security but also promoted sustainable living and conservation of the environment. These trees provide not only nutritious food but also play a vital role in carbon sequestration, soil conservation, and water retention. Overall, the initiative taken by CYEN PR is a great example of how small actions can make a big difference in creating a sustainable future.

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Answer:

arc XY = 15 units

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Length of arc of the sector = \(\frac{\theta}{360} \times (Circumference \: of \: the \: circle)\) where θ is the angle subtended by arc of the sector at the center of the circle.

SOLUTION :-

\(XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15\)

D is correct answer

±8√2

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

Answer:

Step-by-step explanation:

l*w*h 5 times 4 times 3 =60m

Answer:

68/.75

Step-by-step explanation:

solving factor by grouping, The final factored form of the expression is n(n + 3) - 10.

A factor is a number that divides into another number exactly with no remainder. For example, the factors of 8 are 1, 2, 4, and 8.

Factor by grouping is a method of factoring polynomials, which is used to find the common factors in an expression. The idea is to group the terms of the polynomial in such a way that the common factors can be factored out of them. In other words, it is a way to simplify an algebraic expression by finding common factors among the terms and then grouping them together. For example, the polynomial 2x^2 + 6x can be factored by grouping as (2x^2 + 6x) = 2x(x + 3). This is the most common way to factor a polynomial with four terms.

To solve the problem "factor by grouping" for the expression "n^2+3n-10", you can follow these steps:

Write the expression in the form of (n^2 + An + B) + (Cn + D)

(n^2 + 3n - 10) = (n^2 + 3n) + (-10)

Factor out the greatest common factor (GCF) of the terms in the first set of parentheses.

(n^2 + 3n) = n(n + 3)

Factor out the GCF of the terms in the second set of parentheses, if possible. In this case, there is no GCF.

Combine the factored expressions from step 2 and step 3 to get the final factored form.

n(n + 3) + (-10)

The final factored form of the expression is n(n + 3) - 10.

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The two numbers that when multiplied equal 5/9 and when added together equal -2 will be - 1/3 and - 5/3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

xy = 5/9                  ...1

x + y = - 2               ...2

From equations 1 and 2, then we have

x + 5 / (9x) = -2

9x² + 5 = - 18x

9x² + 18x + 5 = 0

9x² + 15x + 3x + 5 = 0

3x(3x + 5) + 1(3x + 5) = 0

(3x + 1)(3x + 5) = 0

x = -1/3, -5/3

At x = - 1/3, the value of y is given as,

- 1/3 + y = -2

y = - 5/3

At x = - 5/3, the value of y is given as,

- 5/3 + y = -2

y = - 1/3

The two numbers that when multiplied equal 5/9 and when added together equal -2 will be - 1/3 and - 5/3.

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The equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4

The equation of a line in point-slope form is expressed as y = mx + b

where

m is the slope

b is the intercept

Using the coordinate points (-1,-1) and (2, 14)

Slope = 14+1/2+1

slope = 15/3

Slope = 5

For the intercept;

14 = 5(2) + b

14 = 10 + b

b = 4

The y-intercept is at the point (0,4)

Determine the equation

y = mx + b

y = 5x + 4

Hence the equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4

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Part (a)

Let one of the angles be \(\theta\). After solving for all of the other angles using the triangle sum theorem, we see that \(\triangle CDA \sim \triangle BDC \sim \triangle BCA\).

Part (b)

\(\frac{BD}{BC}=\frac{BC}{CA}, \frac{DA}{DC}=\frac{DC}{DB}\)

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Answer:

2e3t = 32 since you can divide by 3 on both sides.